Question

The midpoint of the line segment from P₁ to P₂ is (-6,2). If P₁ = (-7,1), what is P2?

P2 = (Type an ordered pair.)

Answer 1

Answer: The midpoint of a line segment with endpoints P₁ and P₂ is given by:

(x₁ + x₂) / 2, (y₁ + y₂) / 2

where (x₁, y₁) and (x₂, y₂) are the coordinates of P₁ and P₂, respectively.

Given the midpoint of the line segment is (-6,2) and P₁ = (-7,1), we can use the midpoint formula to find P₂:

x₂ = 2 * -6 - x₁ = -6 - (-7) = -6 + 7 = 1

y₂ = 2 * 2 - y₁ = 2 - 1 = 1

So P₂ = (1,1).

Explanation: